EAA6 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EAA6 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert EAA6 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EAA6 by 16⁰, multiply the second to last digit in EAA6 by 16¹, multiply the third to last digit in EAA6 by 16², multiply the fourth to last digit in EAA6 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
A × 16¹ = 160
A × 16² = 2560
E × 16³ = 57344

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

6 + 160 + 2560 + 57344 = 60070

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

60070 ÷ 2 = 30035 with 0 remainder
30035 ÷ 2 = 15017 with 1 remainder
15017 ÷ 2 = 7508 with 1 remainder
7508 ÷ 2 = 3754 with 0 remainder
3754 ÷ 2 = 1877 with 0 remainder
1877 ÷ 2 = 938 with 1 remainder
938 ÷ 2 = 469 with 0 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to EAA6 hexadecimal to binary:

EAA6 hexadecimal = 1110101010100110 binary

Hexadecimal to Binary Converter
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